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2112212000 = 2553528053
BaseRepresentation
bin111110111100101…
…1100110000100000
312110012111111011002
41331321130300200
513311211241000
6545332011132
7103225335323
oct17571346040
95405444132
102112212000
1199431a158
124ab460aa8
132787a54b2
141607487ba
15c567a8d5
hex7de5cc20

2112212000 has 48 divisors (see below), whose sum is σ = 5189714712. Its totient is φ = 844883200.

The previous prime is 2112211967. The next prime is 2112212029. The reversal of 2112212000 is 2122112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 277289104 + 1834922896 = 16652^2 + 42836^2 .

It is a super-2 number, since 2×21122120002 = 8922879065888000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260027 + ... + 268026.

Almost surely, 22112212000 is an apocalyptic number.

2112212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112212000 is an abundant number, since it is smaller than the sum of its proper divisors (3077502712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112212000 is an equidigital number, since it uses as much as digits as its factorization.

2112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528078 (or 528060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2112212000 is about 45958.8076433669. The cubic root of 2112212000 is about 1283.0566596831.

Adding to 2112212000 its reverse (2122112), we get a palindrome (2114334112).

The spelling of 2112212000 in words is "two billion, one hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 528053 1056106 2112212 2640265 4224424 5280530 8448848 10561060 13201325 16897696 21122120 26402650 42244240 52805300 66006625 84488480 105610600 132013250 211221200 264026500 422442400 528053000 1056106000 2112212000